The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 1 0 1 1 1 X 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 2X 1 1 1 2X 1 2X 1 2X 1 1 1 1 1 0 1 1 1 1 2X 2X X 1 1 1 0 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 X+2 1 1 0 2X+1 2 2X+1 0 1 2 X 2X+1 1 2 2 X+1 2X 1 2X+2 2X+1 X+1 0 X+2 1 X+2 2X 2X+1 X 1 2X+1 0 2X 1 2 1 X 1 2X 2X 2X+1 2X 2X+2 1 2X+1 2X+2 2X+1 2X 1 1 1 X X+2 2X+2 1 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X 0 X 2X X 2X X 2X 0 X 2X X X X 2X X 0 0 X 0 2X X X X X 2X X 0 X 0 X 2X 2X X 2X 0 0 0 2X X X 2X X X 0 0 2X X X 2X 2X 2X 0 0 2X 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X X 2X 0 X 2X 0 X X X 2X 2X 0 X X X X X 2X 0 X X 0 0 0 X X X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X X X 0 X 2X 0 0 X 2X X 2X X 0 2X X 0 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X 2X 0 0 2X X X 2X 0 X X 0 2X 0 X 0 X X 2X X 0 0 0 X X X X X 0 X 0 2X 2X X 2X X 0 0 X 2X 2X 0 2X X 0 0 2X 2X 0 X 0 2X 0 0 0 X 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 2X 2X 0 2X 2X X 2X 0 0 X X 0 2X 0 0 X X 0 X 0 X 0 0 X 2X 2X X X 0 X 0 X 2X 2X 2X X 2X 0 0 0 X X 2X 0 0 2X 0 0 X X 2X 0 2X 2X 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X X 2X 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 2X 0 X X X X 0 2X X X 2X 0 0 2X 0 0 X 2X 2X 2X 2X 0 2X X 2X X 0 0 0 0 0 0 0 0 X X X 2X 0 2X 0 2X generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+82x^120+66x^122+232x^123+72x^124+96x^125+482x^126+144x^127+348x^128+920x^129+360x^130+468x^131+1092x^132+612x^133+540x^134+1604x^135+816x^136+708x^137+1840x^138+828x^139+756x^140+2058x^141+774x^142+648x^143+1290x^144+546x^145+438x^146+672x^147+162x^148+222x^149+308x^150+54x^151+66x^152+118x^153+6x^154+18x^155+82x^156+84x^159+36x^162+20x^165+6x^168+6x^171+2x^174 The gray image is a linear code over GF(3) with n=207, k=9 and d=120. This code was found by Heurico 1.16 in 7.58 seconds.